The American striker got on the end of a long ball before advancing into the area and then sliding home in the 62nd minute to make it 3-1 to his side.
Adam Maher and Uche Nwofor traded blows either side of half-time before AZ took charge with second-half goals from Donny Gorter, Altidore and Etienne Reijnen to move up to ninth on the Eredivisie table.
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